A level controller is shown in the figure it contains of a thin circular plug of diameter 10 cm and a cyclindrical plug of diameter 20 cm tied together with a light rigid rod of length 10 cm. The plug fits in smoothly in a dram hole at the bottom of the tank which opens into atmosphere. As water fills up and the level reaches height h, the plug opens. Find h. Determine the level of water in the tank when the plug closes again. The float has a mass 3kg and the plug may be assumed as massless.

Answer

`[h_(1) = (2(3+pi))/(15pi), h_(2) = (3+pi)/(10pi)]`